8519679484801 has 9 divisors (see below), whose sum is σ = 9050369672649. Its totient is φ = 8018475166464.

The previous prime is 8519679484747. The next prime is 8519679484817. The reversal of 8519679484801 is 1084849769158.

The square root of 8519679484801 is 2918849.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 88089646401 + 8431589838400 = 296799^2 + 2903720^2 .

It is not a de Polignac number, because 8519679484801 - 2¹⁵ = 8519679452033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8519679484891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49534585 + ... + 49706281.

Almost surely, 2^{8519679484801} is an apocalyptic number.

8519679484801 is the 2918849-th square number.

8519679484801 is the 1459425-th centered octagonal number.

It is an amenable number.

8519679484801 is a deficient number, since it is larger than the sum of its proper divisors (530690187848).

8519679484801 is an frugal number, since it uses more digits than its factorization.

8519679484801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343428 (or 171714 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 70.

The spelling of 8519679484801 in words is "eight trillion, five hundred nineteen billion, six hundred seventy-nine million, four hundred eighty-four thousand, eight hundred one".